00:02
Hello students, according to the given question we have to perform the two -way anova.
00:11
So here given the data.
00:14
So from given data, from given data we have to perform the row and column totals.
00:26
So they are here a, b and c and here let 1 and 2.
00:33
So it is column total and it is row total.
00:41
So it is 15, 30, 45 and total is 90.
00:47
Here 25, 40, 55 total is 120.
00:53
And here the column total is 40, 70 and 100.
00:59
The overall total is 2 .10.
01:03
Now the sum of squares for the total is equal to summation x square minus summation x whole square divided by n.
01:14
That is equal to 1724 minus 1470.
01:19
That is equal to 254.
01:22
Now the sum of squares for the rows of a that is equal to 30 and sum of squares for columns that is for b, it is 1 .4.
01:33
And sum of squares for both a -b will be 0.
01:38
So now we have to construct an anova table.
01:43
So anova table.
01:48
So here we have the columns that is source, sum of squares, degrees of freedom, mean sum of squares and f value and p value.
02:01
So here a, b and ab and error that is called residual and total.
02:15
So the sum of squares here is 30, 180, 0 and here it is 44 and total is 27 to 554...